A posteriori error estimator for mixed interior penalty discontinuous Galerkin finite element method for the H(curl)-elliptic problems

被引：0
|
作者：
Tang, Ming [1 ]
Xing, Xiaoqing [1 ]
Zhong, Liuqiang [1 ]
机构：
[1] South China Normal Univ, Sch Math Sci, Guangzhou 510631, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2024年 / 436卷
基金：
中国国家自然科学基金;
关键词：
H(curl)-elliptic problems; Mixed interior penalty discontinuous; Galerkin method; A posterior error estimator; Reliability; Efficiency; CONVERGENCE; APPROXIMATIONS; SINGULARITIES;
D O I：
10.1016/j.cam.2023.115407
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we design the first residual type a posteriori error estimator for mixed interior penalty discontinuous Galerkin method for the H(curl)-elliptic problems. Then we prove that our indicator is both reliable and efficient. At last, we present some numerical experiments to validate the performance of the indicator within an adaptive mesh refinement procedure.& COPY; 2023 Elsevier B.V. All rights reserved.
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页数：17
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